Is circular(elliptical) motion simple harmonic ?

Let's consider two simple harmonic motions $x=a{\sin \theta}$ and $y=b{\cos \theta}$ [here $\theta = wt$ ]then if we superimpose the two motions, then the path of particle doing such a motion is given by

${x}^2/{a}^2+{y}^2/{b}^2=1$

which represents an ellipse [circle being a special case of it] now the dillemma is ,it can be considered a simple harmonic as it is superposition of two simple harmonic motions or non Simple Harmonic as it is not tracing its path back[that is not reversing]

Please help

#Mechanics

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$